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Finding the Fourth Proportional to 13,419.63, 18,521.28 and 7,453.22

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Solution

The fourth proportional to 13,419.63, 18,521.28 and 7,453.22 is: 10,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.63 : 18,521.28 = 7,453.22 : x
  2. Step 2: Convert to fraction form
    13,419.63/18,521.28 = 7,453.22/x
  3. Step 3: Cross multiply
    13,419.63x = 18,521.28 × 7,453.22
  4. Step 4: Simplify right side
    13,419.63x = 138,043,081.92
  5. Step 5: Solve for x
    x = 138,043,081.92/13,419.63
  6. Step 6: Final answer
    x = 10,286.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.